An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice cube outside the water is (2024)

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Floating

An ice berg o...

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20%

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35%

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10%

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25%

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Solution

The correct option is C 10%
Let the total volume of ice-berg is V and its density is ρ. If this ice-berg floats in water with volume Vin inside
it then Vinσg=Vρg⇒Vin=⟮ρσ⟯V [σ = density of water]
or Vout=V−Vin=⟮σ−ρσ⟯V
⇒VoutV=⟮σ−ρσ⟯=1000−9001000=110
∴Vout=10% of V

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An ice berg of density 900 Kg/m3 is floating in water of density 1000 Kg/m3. The percentage of volume of ice cube outside the water is (2024)

The correct option is C 10%Let the total volume of ice-berg is V and its density is ρ. If this ice-berg floats in water with volume Vin insideit then Vinσg=Vρg⇒Vin=⟮ρσ⟯V [σ = density of water]or Vout=V−Vin=⟮σ−ρσ⟯V⇒VoutV=⟮σ−ρσ⟯=1000−9001000=110∴Vout=10% of V

An iceberg of density 900kg/m3 is floating in water of density 1000kg/m3. the percentage of volume of ice-cube outside the water is